The subject of the invention is a device for dispensing a cosmetic composition, comprising a dispensing head (1) intended to be fitted on a container containing said cosmetic composition to be dispensed, (i) the dispensing head comprising: a body (3) that is open at its two opposite axial ends, an engaging part (10) that is open at its two opposite axial ends and at least partially defines at least one dispensing orifice (12), the individual cross section of the dispensing orifice being between 0.03 mm2 and 0.5 mm2, and (ii) the cosmetic composition comprising, in a cosmetically acceptable medium, at least one emulsion chosen from a water-in-oil emulsion and an oil-in-water emulsion, at least one cosmetic active agent, in particular at least one deodorant active agent and/or antiperspirant active agent.